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Finding the Fourth Proportional to 21,486.40, 32,225.40 and 10,809.90

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Solution

The fourth proportional to 21,486.40, 32,225.40 and 10,809.90 is: 16,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,486.40 : 32,225.40 = 10,809.90 : x
  2. Step 2: Convert to fraction form
    21,486.40/32,225.40 = 10,809.90/x
  3. Step 3: Cross multiply
    21,486.40x = 32,225.40 × 10,809.90
  4. Step 4: Simplify right side
    21,486.40x = 348,353,351.46
  5. Step 5: Solve for x
    x = 348,353,351.46/21,486.40
  6. Step 6: Final answer
    x = 16,212.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.